Daily Practice · Higher

Daily Practice - Higher

5th May 1997

5 questions · 14 marks · Grades 6-7 · 61 question types in this band

1
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.555... as a fraction in its simplest form.
2
Trigonometric and Exponential Graphs2 marks
The curve y = 2^x is drawn. Work out y when x = 3, and write down where the curve crosses the y-axis.
3
Repeated Percentage Change3 marks
A price rises by 25% and then falls by 15%. Work out the overall percentage change, to 2 decimal places.
4
Vectors3 marks
a is the column vector (2, -5) and b is (0, 2). Work out 2a - 4b as a column vector.
5
Probability Trees3 marks
3 of 7 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.

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